?!DOCTYPE html>Some new developments on the forward self-similar solutions of the incompressible Navier-Stokes Equations-华中师范大学数学学院中文?/title><META Name="keywords" Content="华中师范大学数学学院中文?Some,new,developments,on,the,forward,selfsimilar,solutions,of,incompressible,NavierStokes,Equations" /> <META Name="description" Content="赖柏顺,河南大学副教授,长期从事非线性偏微分方程的理论研究,其研究领域包括椭圆方程解的渐近性态、稳定性、解集的分支现象、正则性以及流体方程自相似解的存在性和弱解的正则性判别准则。在国际刊物上发表SCI论文20余篇,主持国家课?项。其主要研究成果发表在Siam J. Math. Anal、Calc. Var. Partial Differential Equations、Ann. Henri Poincare、Proc. Roy. Soc. Edinburgh Sect. A、Proc. Edinb. Math. Soc.、Proc. 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Secondly, I will introduce our new result about this field. More precisely, by establishing the precisely regularity of solution for the corresponding elliptic system, we prove that the solution constructed by Korobkov-Tsai [Anal. PDE 9 (2016), 1811-1827] satisfies the decay estimate which implies this solution enjoys the same property with that solution was constructed in [Jia and \v{S}ver\'{a}k, Invent. Math. 196 (2014), 233-265]. This is a joint work with Miao Changxing and Zheng xiaoxing.</td> </tr> <tr> <td class="title">Brief Introduction to Speaker</td> <td><div id="vsb_content"><div class="v_news_content"> <p>赖柏顺,河南大学副教授,长期从事非线性偏微分方程的理论研究,其研究领域包括椭圆方程解的渐近性态、稳定性、解集的分支现象、正则性以及流体方程自相似解的存在性和弱解的正则性判别准则。在国际刊物上发表SCI论文20余篇,主持国家课?项。其主要研究成果发表在Siam J. Math. Anal、Calc. Var. Partial Differential Equations、Ann. Henri Poincare、Proc. Roy. Soc. Edinburgh Sect. A、Proc. Edinb. Math. Soc.、Proc. Amer. Math. Soc.、Discrete Contin. Dyn. 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